Abstract Algebra with Applications (Hardcover)

Terras, Audrey

  • 出版商: Cambridge
  • 出版日期: 2018-12-20
  • 定價: $1,500
  • 售價: 9.5$1,425
  • 語言: 英文
  • 頁數: 328
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 1107164079
  • ISBN-13: 9781107164079
  • 相關分類: Computer-networks
  • 立即出貨 (庫存=1)

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商品描述

Abstract Algebra with Applications provides a friendly and concise introduction to algebra, with an emphasis on its uses in the modern world. The first part of this book covers groups, after some preliminaries on sets, functions, relations, and induction, and features applications such as public-key cryptography, Sudoku, the finite Fourier transform, and symmetry in chemistry and physics. The second part of this book covers rings and fields, and features applications such as random number generators, error correcting codes, the Google page rank algorithm, communication networks, and elliptic curve cryptography. The book's masterful use of colorful figures and images helps illustrate the applications and concepts in the text. Real-world examples and exercises will help students contextualize the information. Intended for a year-long undergraduate course in algebra for mathematics, engineering, and computer science majors, the only prerequisites are calculus and a bit of courage when asked to do a short proof.

商品描述(中文翻譯)

《應用抽象代數》提供了一個友善且簡潔的代數入門,強調其在現代世界中的應用。本書的第一部分涵蓋了群,並在介紹集合、函數、關係和歸納法等基礎知識後,介紹了一些應用,如公鑰加密、數獨、有限傅立葉變換以及化學和物理中的對稱性。本書的第二部分涵蓋了環和域,並介紹了一些應用,如隨機數生成器、錯誤修正碼、Google頁面排名算法、通信網絡和橢圓曲線加密。本書巧妙地使用了豐富多彩的圖片和圖像,以幫助說明文本中的應用和概念。真實世界的例子和練習將幫助學生將信息置於情境中。本書適用於數學、工程和計算機科學專業的本科生一年級代數課程,唯一的先修條件是微積分和一點點勇氣,當被要求進行簡短的證明時。